The invention relates to a multilayer structure comprising at least one layer of supramolecular material and one layer of rigid material, to a method for producing such a structure by casting a composition comprising a precursor of the supramolecular material, and to the uses of the structures produced, especially for applications where a dampening of impacts, vibrations and/or sound waves is desired, for example for producing locomotion vehicles such as automotive, rail, nautical, aeronautical or aerospace vehicles, or for the construction industry.